Panel of Faculty, NC State, Preparing to Attend Important Conferences
SAS 4201Target Audience: All students
Events
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Saúl Blanco Rodríguez, Indiana University, Cycles in the pancake and burnt pancake graph
SAS 4201The pancake graph has the elements of the symmetric group as vertices and there is an edge between two permutations if there is a prefix reversal that transforms one permutation into the other. One can similarly define the burnt pancake graph using signed permutations instead of permutations. Since these graphs are Cayley graphs, they have several interesting properties such as being regular and…
Konstantina Trivisa, University of Maryland, College Park, On the dynamics of compressible flows: variational solutions, invariant measures, martingale solutions
SAS 4201In this talk I’ll describe an overview of results on the Navier-Stokes equations for viscous compressible flows both in the deterministic and stochastic frame- work. A contrast will be drawn between the one-dimensional flows and the multidimensional case. In the case of 1d isentropic compressible flow, the existence of invariant mea- sures will be established…
Honors Research Presentation Session, Grant Barkley, Bryan Chu, Geneva Collins and Thomas Lee, NC State
Grant Barkley Title: Domino Tilings and Divisibility Abstract: A domino tiling of a region in the plane is an arrangement of 2x1 domino tiles that completely covers that region. These tilings are an example of a more general construction in graph theory called perfect matchings. We are interested in counting the number of ways to cover certain…
Ryan Murray, Pennsylvania State University, An introduction to singular perturbations in the calculus of variations
SAS 4201Many contemporary problems in the calculus of variations involve describing the limit of singular perturbations of variational problems. These problems arise naturally in a number of fields, for example in materials science (phase transition problems) and mathematical statistics (regularized empirical risk minimization). This talk will give an introduction to these problems, their applications, and recent work…
Departmental Tea and Cookies
SAS 4104Mohammad Farazmand, MIT, Extreme Events: Dynamics, Prediction and Mitigation
SAS 4201A wide range of natural and engineering systems exhibit extreme events; i.e., spontaneous intermittent behavior manifested through sporadic bursts in the time series of their observables. Examples include ocean rogue waves, intermittency in turbulence, extreme weather patterns and epileptic seizure. Because of their undesirable impact on the system or the surrounding environment, the real-time prediction and mitigation of extreme events is of great interest.…
Yakov Berchenko-Kogan, Washington University in St. Louis, Variational numerical methods in geometric PDE
Variational methods can be used to create numerical methods that respect conservation laws. I will discuss applications to electromagnetism, the Yang-Mills equations, and mean curvature flow. I will also discuss some new ideas about finite element spaces of differential forms.
Departmental Tea and Cookies
SAS 4104Anne Shiu, Texas A&M, Dynamics of biochemical reaction systems
SAS 4201Reaction networks taken with mass-action kinetics arise in many settings, from epidemiology to population biology to systems of chemical reactions. This talk focuses on certain biological signaling networks, namely, phosphorylation networks, and their resulting dynamical systems. For many of these systems, the set of steady states admits a rational parametrization (that is, the set is the image of a map…
Departmental Tea and Cookies
SAS 4104Mark Iwen, Michigan State University, Sparse Fourier Transforms, Generalizations, and Extensions
SAS 4201Compressive sensing has generated tremendous amounts of interest since first being proposed by Emmanuel Candes, David Donoho, Terry Tao, and others roughly a decade ago. This mathematical framework has its origins in (i) the observation that traditional signal processing applications, such as MRI imaging problems, often deal with the acquisition of signals which are known…
Departmental Tea and Cookies
SAS 4104Pierre-Emmanuel Jabin, University of Maryland, Critical scales for the regularity of advection equations and applications to compressible fluid mechanics
This talk will present recent works to identify the critical scales at which regularity is propagated by advection equations with rough, i.e. non-smooth, velocity fields. After reviewing the classical theory of renormalized solutions which provides qualitative arguments of regularity and well-posedness, more recent quantitative approaches will be discussed. Our goal is to use this framework…
Weekly Brown Bag Lunch
SAS 4104Join us tomorrow Wednesday 1/16/19 from 12:00-1:00 in the math graduate lounge for our first weekly brown bag lunch of the semester. As a reminder all are welcomed including undergraduate students! There will be goodies!
Departmental Tea and Cookies
SAS 4104Khrystyna Serhiyenko, University of California at Berkeley, Cluster structures in Grassmannian and Schubert varieties
SAS 4201Cluster algebras are commutative rings defined by a set of generators and relations and equipped with a rich combinatorial structure. It turns out that coordinate rings of many important varieties from Lie theory are cluster algebras. In this talk, we will discuss cluster structures in open Schubert varieties of the Grassmannian and their…